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function and associates
We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.
It associates to each space a new space and to each function between two spaces a new function between the corresponding new spaces.
An observable a is a function that to each point of the phase space associates a number ( say instantaneous pressure, or average height ).
Mathematically, the E field can be thought of as a function that associates a vector with every point in space.
Thus, the derivative of f ( x ) becomes for an infinitesimal, where st (·) denotes the standard part function, which associates to every finite hyperreal the unique real infinitely close to it.
In coordinates, a vector field on a domain in n-dimensional Euclidean space can be represented as a vector-valued function that associates an n-tuple of real numbers to each point of the domain.
It is perhaps, in this way that Nephthys best fulfilled her role as an important national deity whose ideal function was to provide powerful assistance to her associates in a great variety of temple cults — a truly " Useful " and " Excellent " goddess, as her primary epithets reflect.
A function that associates to any of the four colored shapes its color.
The function associates to any natural number n the number 4 − n.
The function associates a polygon with its number of vertices.
A generic function is an object which is callable like a function and which associates a collection of methods with a shared name and argument structure, each specialized for different arguments.
Strictly speaking, a " well-defined " function associates one, and only one, output to any particular input.
Using st to denote the standard part function that associates to a finite hyperreal number the real infinitely close to it, this gives
His ability to function as mayor had become so impaired that even his closest associates urged him not to run again, going so far as to attempt to instead create an endowed professorship for him at the University of the District of Columbia.
In mathematics, the Riemann – Liouville integral associates with a real function ƒ: RR another function I < sup > α </ sup > ƒ of the same kind for each value of the parameter α > 0.
The operator I < sup > α </ sup > associates to each integrable function ƒ on ( a, b ) the function I < sup > α </ sup > ƒ on ( a, b ) which is also integrable by Fubini's theorem.
For example, imagine a function that reads a configuration file and associates values with options.
In mathematics, more specifically in group theory, the character of a group representation is a function on the group which associates to each group element the trace of the corresponding matrix.
Frege's discussion is concerned with how proper names and indexicals like ' I ' function and how they are connected with the sense ( or mode of presentation ) that, on his account, each speaker who uses them associates with them.
The " Memphis Mafia " was the nickname for a group of friends, associates, employees and " yes-men " whose main function was to be around Elvis Presley from 1954 until he died.

function and header
* signal. h, a C standard library header declaring the function
Further, it appears that " the creators DeCSS have taken Fawcus ' code almost verbatim-the only alteration was the removal of Fawcus ' copyright header and a paragraph containing commentaries, and a change of the function names.
* The type of value returned by a function is determined without lookup ( i. e. searching for function definitions in other files, e. g. ". h " header files, etc.
The compiler must either handle the header files that expose the interior API function names, or supply such files by itself.
Such packet filters operate at the Network Layer ( layer 3 ) and function more efficiently because they only look at the header part of a packet.
When adhering to K & R, each function has its opening brace at the next line on the same indentation level as its header, the statements within the braces are indented, and the closing brace at the end is on the same indentation level as the header of the function at a line of its own.
On the Sega Mega Drive / Sega Genesis, the Game Genie can function as a country converter cartridge since most of these games are only " locked " to their respective regions by the shape of the cartridges and a set of a few bytes in the header of the ROM.
Each header file contains one or more function declarations, data type definitions, and macros.
Small strings of explanatory text can be added after the header of a class, method, function or property, and they can be used to generate documentation.
*, a function in the ISO C standard library defined in the standard header
The Header Type register values determine the different layouts of remaining 48 bytes ( 64-16 ) of the header, depending on the function of the device.

function and with
Unconcerned with the practical function of his actions, the dancer is engrossed exclusively in their `` motional content ''.
Today the private detective will also investigate insurance claims or handle divorce cases, but his primary function remains what it has always been, to assist those who have money in their unending struggle with those who have not.
But because it is the function of the mind to turn the one into the other by means of the capacities with which words endow it, we do not unwisely examine the type of distinction, in the sphere of politics, on which decisions hang.
It is possible that international organization will ultimately supplant the multi-state system, but its proper function for the immediate future is to reform and supplement that system in order to render pluralism more compatible with an interdependent world.
During the period from 1 July 1960 through 31 January 1961, additional research affiliations were effected with the U. S. Army Medical Research and Development Command to conduct research in procedures for quantitative electron microscopy, and for the study of biophysical and biological studies of the structure and function of ocular tissue.
The concept of the strain energy as a Gibbs function difference Af and exerting a force normal to the shearing face is compatible with the information obtained from optical birefringence studies of fluids undergoing shear.
When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.
Closely related to this function is the fact that the religious system provides a body of ultimate ends for the society, which are compatible with the supreme eternal ends.
It might be pointed out that the integrating function of religion, for good or ill, has often supported or been identified with other groupings -- political, nationality, language, class, racial, sociability, even economic.
By means of this social control, deviance is either eliminated or somehow made compatible with the function of the social group.
The form of the industry demand function is one which makes quantity demanded vary inversely with the product price, and vary directly with the level of Aj.
Here he put a small man, whose missing hands might have left his function doubtful, until comparison with the first sketches showed that when the artist came back to the beginning, this was to be the closing figure of the party of `` forty-niners '', and was to hold a basket.
To extract the optimal R-stage policy with respect to the feed state Af, we enter section R of this table at the state Af and find immediately from the last column the maximum value of the objective function.
While man shares this procreative function with all his predecessors in the evolutionary process, he is the only animal with a true non-instinctive and conscious creative ability.
" However, as Stocking notes, Tylor mainly concerned himself with describing and mapping the distribution of particular elements of culture, rather than with the larger function, and he generally seemed to assume a Victorian idea of progress rather than the idea of non-directional, multilineal cultural development proposed by later anthropologists.
These stateless societies are not less evolved than societies with states, but chose to conjure the institution of authority as a separate function from society.
The function of Apollo as a " healer " is connected with Paean ( Παιών-Παιήων ), the physician of the Gods in the Iliad, who seems to come from a more primitive religion.
In the Iliad, Apollo is the healer under the gods, but he is also the bringer of disease and death with his arrows, similar to the function of the terrible Vedic god of disease Rudra.
Its size is determined by its function as a glycogen and fat storage unit, and may change with the seasons as these reserves are built or used up.
They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.

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